77314608 has 160 divisors (see below), whose sum is σ = 260856320. Its totient is φ = 21461760.

The previous prime is 77314607. The next prime is 77314613. The reversal of 77314608 is 80641377.

It is a super-2 number, since 2×77314608² = 11955097220387328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77314607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111543 + ... + 112233.

It is an arithmetic number, because the mean of its divisors is an integer number (1630352).

Almost surely, 2^77314608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77314608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130428160).

77314608 is an abundant number, since it is smaller than the sum of its proper divisors (183541712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77314608 is a wasteful number, since it uses less digits than its factorization.

77314608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 77314608 is about 8792.8725681657. The cubic root of 77314608 is about 426.0107118909.

77314608 divided by its sum of digits (36) gives a triangular number (2147628 = T₂₀₇₂).

The spelling of 77314608 in words is "seventy-seven million, three hundred fourteen thousand, six hundred eight".